Finite Group Databasebeta

← #8424448

Subgroups — #8424448

Order 512.

5783 conjugacy classes of subgroups.

The subgroup lattice has 1876 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59816C211yesmaximal, characteristic, complemented
2#59654C211yesmaximal, characteristic, complemented
3#59410C211yesmaximal, characteristic, complemented
4#59131C212yesmaximal, complemented
5#59030C212yesmaximal, complemented
6#53432C214yesmaximal, complemented
7#53426C214yesmaximal, complemented
8#53129C212yesmaximal, complemented
9#53116C212yesmaximal, complemented
10#53016C212yesmaximal, complemented
11#52962C212yesmaximal, complemented
12#52599C214yesmaximal, complemented
13#42950C212yesmaximal, complemented
14#42535C212yesmaximal, complemented
15#42474C212yesmaximal, complemented
16#42422C212yesmaximal, complemented
17#40926C214yesmaximal, complemented
18#40125C212yesmaximal, complemented
19#39900C212yesmaximal, complemented
20#39362C211yesmaximal, characteristic, complemented
21#39167C211yesmaximal, characteristic, complemented
22#38957C211yesmaximal, characteristic, complemented
23#38951C211yesmaximal, characteristic, complemented
24#38902C212yesmaximal, complemented
25#37751C212yesmaximal, complemented
26#37627C211yesmaximal, characteristic, complemented
27#37625C211yesmaximal, characteristic, complemented
28#37546C212yesmaximal, complemented
29#37492C212yesmaximal, complemented
30#36609C211yesmaximal, characteristic, complemented
31#36260C211yesmaximal, characteristic, complemented
32D4×#124C211yesmaximal, characteristic, complemented
33#34934C211yesmaximal, characteristic, complemented
34#34932C211yesmaximal, characteristic, complemented
35#34918C211yesmaximal, characteristic, complemented
36C2×#556C2211yescharacteristic, complemented
37C2×D4×Q8C2211yescharacteristic, complemented
38C2×#548C2212yescomplemented
39C2×#547C2211yescharacteristic, complemented
40C2×#547C2211yescharacteristic, complemented
41C2×#546C2212yescomplemented
42C2×#546C2212yescomplemented
43C2×D42C2211yescharacteristic
44C2×D42C2211yescharacteristic
45C2×D42C2212yes—
46C2×D42C2212yes—
47C2×#535C2212yescomplemented
48C2×#529C2212yescomplemented
49C2×#529C2212yescomplemented
50C22×#124C2212yescomplemented
51#2862C2211yescharacteristic, complemented
52#2858C2211yescharacteristic
53#2858C2211yescharacteristic
54#2856C2212yescomplemented
55#2850C2212yescomplemented
56#2841C2214yescomplemented
57#2837C2214yescomplemented
58#2837C2214yescomplemented
59#2830C2214yescomplemented
60#2829C2214yescomplemented
61#2829C2214yescomplemented
62#2828C2214yescomplemented
63#2827C2214yescomplemented
64#2824C2214yescomplemented
65#2820C2214yescomplemented
66#2819C2214yescomplemented
67#2814C2214yescomplemented
68#2812C2214yescomplemented
69#2812C2214yescomplemented
70#2803C2214yescomplemented
71#2784C2214yescomplemented
72#2768C2214yescomplemented
73#2753C2214yescomplemented
74#2741C2214yescomplemented
75#2735C2214yescomplemented
76#2723C2214yescomplemented
77#2723C2214yescomplemented
78#2706C2214yescomplemented
79#2706C2214yescomplemented
80#2705C2214yescomplemented
81#2701C2214yescomplemented
82#2697C2214yescomplemented
83#2696C2214yescomplemented
84#2694C2214yescomplemented
85#2691C2214yescomplemented
86#2691C2214yescomplemented
87#2688C2214yescomplemented
88#2686C2214yescomplemented
89#2685C2214yescomplemented
90#2685C2214yescomplemented
91#2685C2214yescomplemented
92#2685C2214yescomplemented
93#2684C2214yescomplemented
94#2684C2214yescomplemented
95#2682C2214yescomplemented
96#2681C2214yescomplemented
97#2679C2214yes—
98#2678C2214yescomplemented
99#2678C2214yescomplemented
100#2678C2214yescomplemented
101#2672C2214yescomplemented
102#2671C2214yescomplemented
103#2671C2214yescomplemented
104#2670C2214yescomplemented
105#2668C2214yescomplemented
106#2668C2214yescomplemented
107#2662C2214yescomplemented
108#2662C2214yescomplemented
109#2651C2214yescomplemented
110#2651C2214yescomplemented
111#2644C2212yescomplemented
112#2641C2212yescomplemented
113#2640C2212yescomplemented
114#2630C2214yescomplemented
115#2630C2214yescomplemented
116#2629C2212yescomplemented
117#2626C2214yescomplemented
118#2626C2214yescomplemented
119#2625C2212yescomplemented
120#2624C2212yescomplemented
121#2624C2212yescomplemented
122#2622C2214yescomplemented
123#2620C2212yescomplemented
124#2620C2212yescomplemented
125#2620C2212yescomplemented
126#2620C2212yescomplemented
127#2620C2212yescomplemented
128#2617C2214yescomplemented
129#2613C2214yescomplemented
130#2597C2212yescomplemented
131#2595C2212yescomplemented
132#2592C2212yescomplemented
133#2592C2212yescomplemented
134#2592C2211yescharacteristic, complemented
135#2580C2212yescomplemented
136#2580C2211yescharacteristic, complemented
137#2570C2211yescharacteristic, complemented
138#2567C2212yescomplemented
139#2559C2214yescomplemented
140#2555C2214yescomplemented
141#2554C2214yescomplemented
142#2554C2212yescomplemented
143#2554C2212yescomplemented
144#2553C2214yescomplemented
145#2552C2211yescharacteristic, complemented
146#2552C2211yescharacteristic, complemented
147#2548C2211yescharacteristic
148#2548C2211yescharacteristic, complemented
149#2547C2211yescharacteristic, complemented
150#2547C2211yescharacteristic, complemented
151#2544C2211yescharacteristic
152#2544C2212yes—
153#2542C2211yescharacteristic, complemented
154#2542C2211yescharacteristic, complemented
155#2541C2211yescharacteristic
156#2541C2211yescharacteristic
157#2540C2212yescomplemented
158#2540C2212yescomplemented
159#2540C2212yescomplemented
160#2539C2214yescomplemented
161#2539C2214yescomplemented
162#2538C2211yescharacteristic, complemented
163#2538C2211yescharacteristic, complemented
164#2537C2211yescharacteristic
165#2537C2211yescharacteristic
166#2537C2212yes—
167#2537C2212yes—
168#2536C2212yescomplemented
169#2534C2214yescomplemented
170#2516C2212yescomplemented
171#2513C2212yescomplemented
172#2513C2212yescomplemented
173#2513C2211yescharacteristic, complemented
174#2512C2211yescharacteristic, complemented
175#2512C2211yescharacteristic, complemented
176#2511C2211yescharacteristic, complemented
177#2502C2212yescomplemented
178#2501C2212yescomplemented
179#2500C2212yescomplemented
180#2497C2212yescomplemented
181#2496C2212yescomplemented
182#2491C2212yescomplemented
183#2491C2212yescomplemented
184#2491C2212yescomplemented
185#2490C2212yescomplemented
186#2490C2212yescomplemented
187#2489C2212yescomplemented
188#2480C2214yescomplemented
189#2476C2214yescomplemented
190#2476C2214yescomplemented
191#2472C2214yescomplemented
192#2472C2214yescomplemented
193#2472C2214yescomplemented
194#2464C2214yescomplemented
195#2461C2214yescomplemented
196#2458C2212yescomplemented
197#2454C2212yescomplemented
198#2448C2212yescomplemented
199#2448C2212yescomplemented
200#2447C2212yescomplemented
201#2447C2212yescomplemented
202#2447C2211yescharacteristic, complemented
203#2445C2211yescharacteristic
204#2445C2211yescharacteristic
205#2445C2211yescharacteristic, complemented
206#2445C2212yescomplemented
207#2440C2212yescomplemented
208#2436C2212yescomplemented
209#2435C2212yescomplemented
210#2435C2212yescomplemented
211#2435C2212yescomplemented
212#2435C2212yescomplemented
213#2435C2212yescomplemented
214#2433C2212yescomplemented
215#2431C2212yes—
216#2431C2212yescomplemented
217#2431C2212yescomplemented
218#2428C2212yescomplemented
219#2427C2212yescomplemented
220#2427C2212yescomplemented
221#2426C2212yescomplemented
222#2426C2212yescomplemented
223#2426C2212yescomplemented
224#2426C2212yescomplemented
225#2426C2212yescomplemented
226#2424C2214yescomplemented
227#2423C2212yescomplemented
228#2423C2212yescomplemented
229#2422C2212yescomplemented
230#2422C2212yescomplemented
231#2418C2214yescomplemented
232#2418C2214yescomplemented
233#2417C2212yescomplemented
234#2417C2212yescomplemented
235#2417C2212yescomplemented
236#2416C2212yescomplemented
237#2416C2212yescomplemented
238#2415C2212yescomplemented
239#2415C2212yescomplemented
240#2414C2212yescomplemented
241#2411C2214yescomplemented
242#2411C2214yescomplemented
243#2410C2214yescomplemented
244#2409C2212yescomplemented
245#2409C2212yescomplemented
246#2409C2212yescomplemented
247#2408C2212yes—
248#2408C2212yes—
249#2408C2212yes—
250#2408C2214yes—
251#2408C2212yes—
252#2408C2212yescomplemented
253#2408C2212yescomplemented
254#2407C2212yescomplemented
255#2407C2212yescomplemented
256#2407C2212yescomplemented
257#2405C2214yescomplemented
258#2398C2212yescomplemented
259#2395C2212yescomplemented
260#2395C2214yescomplemented
261#2392C2212yescomplemented
262#2392C2212yescomplemented
263#2367C2212yescomplemented
264#2367C2212yescomplemented
265#2361C2212yescomplemented
266#2357C2212yescomplemented
267#2352C2212yescomplemented
268#2341C2212yescomplemented
269D4×C22⋊C4C2212yescomplemented
270D4×C22⋊C4C2212yescomplemented
271D4×C22⋊C4C2214yescomplemented
272#2335C2214yescomplemented
273#2326C2212yescomplemented
274#2311C2212yescomplemented
275#2309C2212yescomplemented
276C4×C4⋊Q8C2211yescharacteristic, complemented
277C4×C4⋊Q8C2211yescharacteristic, complemented
278C4×#127C2211yescharacteristic
279C4×#127C2211yescharacteristic
280C4×#127C2211yescharacteristic
281C4×#127C2211yescharacteristic, complemented
282C4×#127C2211yescharacteristic, complemented
283C4×#124C2211yescharacteristic, complemented
284C4×#124C2211yescharacteristic, complemented
285C4×C22⋊Q8C2212yescomplemented
286C4×#123C2212yescomplemented
287C4×#121C2212yescomplemented
288C4×#121C2212yescomplemented
289#2295C2211yescharacteristic, complemented
290#2293C2211yescharacteristic, complemented
291#2293C2211yescharacteristic, complemented
292#2293C2211yescharacteristic, complemented
293C2×#390C2212yescomplemented
294#2290C2212yescomplemented
295#2285C2212yescomplemented
296C42×Q8C2211yescharacteristic, complemented
297C42×D4C2211yescharacteristic, complemented
298C42×D4C2211yescharacteristic, complemented
299C22×#41C2312yes—
300C22×#41C2312yes—
301C23×Q8C2312yes—
302C23×D4C2312yes—
303C23×D4C2312yes—
304C23×D4C2314yes—
305C23×D4C2312yes—
306C23×D4C2312yes—
307#556—44no—
308D4×Q8—44no—
309#548—48no—
310#547—44no—
311#547—44no—
312#546—48no—
313#546—48no—
314D42—44no—
315D42—44no—
316D42—48no—
317D42—48no—
318#535—48no—
319C2×C4⋊Q8C2311yescharacteristic
320C2×C4⋊Q8C2311yescharacteristic
321C2×C4⋊Q8C2312yes—
322C2×#127C2311yescharacteristic
323C2×#127C2311yescharacteristic
324C2×#127C2311yescharacteristic
325C2×#127C2311yescharacteristic
326C2×#127C2311yescharacteristic
327C2×#127C2312yes—
328#529—48no—
329#529—48no—
330C2×#126C2312yes—
331C2×#126C2312yes—
332C2×#126C2314yes—
333C2×#126C2314yes—
334C2×#125C2312yes—
335C2×#125C2312yes—
336C2×#124—48no—
337C2×#124C2312yes—
338C2×#124C2312yes—
339C2×#124C2311yescharacteristic
340C2×#124C2311yescharacteristic
341C2×#124C2312yes—
342C2×#124C2314yes—
343C2×#124C2312yes—
344C2×#124C2312yes—
345C2×#124C2312yes—
346C2×#124C2312yes—
347C2×#124C2312yes—
348C2×#124C2312yes—
349C2×#124C2314yes—
350C2×#124C2314yes—
351C2×#123C2314yes—
352C2×#123C2314yes—
353C2×#123C2312yes—
354C2×#123C2314yes—
355C2×#123C2312yes—
356C2×#123C2312yes—
357C2×#123C2314yes—
358C2×#123C2314yes—
359C2×#123C2314yes—
360C2×C22⋊Q8C2312yes—
361C2×C22⋊Q8C2312yes—
362C2×C22⋊Q8C2312yes—
363C2×C22⋊Q8C2312yes—
364C2×C22⋊Q8C2312yes—
365C2×C22⋊Q8C2312yes—
366C2×C22⋊Q8C2312yes—
367C2×C22⋊Q8C2312yes—
368C2×C22⋊Q8C2314yes—
369C2×C22⋊Q8C2312yes—
370C2×C22⋊Q8C2312yes—
371C2×C22⋊Q8C2314yes—
372C2×#121C2312yes—
373C2×#121C2312yes—
374C2×#121C2312yes—
375C2×#121C2312yes—
376C2×#121C2312yes—
377C2×#121C2314yes—
378C2×#121C2314yes—
379C2×#121C2312yes—
380C2×#121C2312yes—
381C2×#121C2312yes—
382C2×#121C2312yes—
383C2×#121C2312yes—
384C2×#121C2312yes—
385C2×#121C2312yes—
386C2×#121C2312yes—
387C2×#121C2314yes—
388C2×#121C2314yes—
389C2×#121C2312yes—
390C2×#121C2314yes—
391C2×#121C2314yes—
392C2×#121C2314yes—
393C2×#120C2314yes—
394C2×#120C2314yes—
395C2×#120C2314yes—
396C2×#120C2314yes—
397C2×#120C2314yes—
398C2×#120C2314yes—
399C2×#120C2314yes—
400C2×#120C2314yes—
401C2×#120C2314yes—
402C2×#120C2314yes—
403C2×C4×Q8C2311yescharacteristic
404C2×C4×Q8C2311yescharacteristic
405C2×C4×Q8C2312yes—
406C2×C4×Q8C2312yes—
407C2×C4×Q8C2312yes—
408C2×C4×Q8C2311yescharacteristic
409C2×C4×Q8C2311yescharacteristic
410C2×C4×D4C2311yescharacteristic
411C2×C4×D4C2311yescharacteristic
412C2×C4×D4C2311yescharacteristic
413C2×C4×D4C2311yescharacteristic
414C2×C4×D4C2311yescharacteristic
415C2×C4×D4C2312yes—
416C2×C4×D4C2311yescharacteristic
417C2×C4×D4C2311yescharacteristic
418C2×C4×D4C2311yescharacteristic
419C2×C4×D4C2312yes—
420C2×C4×D4C2312yes—
421C2×C4×D4C2312yes—
422C2×C4×D4C2312yes—
423C2×C4×D4C2312yes—
424C2×C4×D4C2312yes—
425C2×C4×D4C2312yes—
426C2×C4×D4C2312yes—
427C2×C4×D4C2312yes—
428C2×C4×D4C2312yes—
429C2×C4×D4C2312yes—
430C2×C4×D4C2311yescharacteristic
431C2×C4×D4C2314yes—
432C2×C4×D4C2314yes—
433C2×#117C2312yes—
434C2×#117C2312yes—
435C2×#117C2312yes—
436C2×#117C2312yes—
437C2×#117C2314yes—
438C22×C4⋊C4C2312yes—
439C22×C4⋊C4C2312yes—
440C22×C22⋊C4C2314yes—
441C22×C22⋊C4C2314yes—
442C22×C22⋊C4C2314yes—
443C22×C22⋊C4C2314yes—
444C22×C42C2312yes—
445C22×C42C2312yes—
446#400C2312yes—
447#400C2314yes—
448#400C2312yes—
449#400C2314yes—
450#400C2312yes—
451#399C2314yes—
452#399C2314yes—
453#399C2314yes—
454#399C2314yes—
455#399C2314yes—
456#399C2312yes—
457#399C2314yes—
458#399C2314yes—
459#399C2314yes—
460#398C2312yes—
461#398C2314yes—
462#398C2314yes—
463#398C2314yes—
464#398C2314yes—
465#398C2312yes—
466#398C2314yes—
467#398C2312yes—
468#398C2314yes—
469#398C2314yes—
470#397C2312yes—
471#397C2314yes—
472#397C2314yes—
473#397C2314yes—
474#397C2314yes—
475#397C2314yes—
476#397C2312yes—
477#397C2314yes—
478#397C2314yes—
479#397C2314yes—
480#397C2312yes—
481#397C2314yes—
482#397C2314yes—
483#397C2312yes—
484#397C2314yes—
485#397C2314yes—
486#397C2312yes—
487#397C2312yes—
488#397C2314yes—
489#397C2312yes—
490#397C2314yes—
491#397C2314yes—
492#396C2314yes—
493#396C2314yes—
494#396C2314yes—
495#396C2314yes—
496#396C2312yes—
497#396C2314yes—
498#396C2312yes—
499#396C2314yes—
500#396C2314yes—
501#396C2314yes—
502#396C2314yes—
503#396C2314yes—
504#396C2314yes—
505#396C2314yes—
506#396C2314yes—
507#396C2312yes—
508#396C2312yes—
509#395C2314yes—
510#395C2314yes—
511#395C2314yes—
512#394C2314yes—
513#394C2314yes—
514#394C2314yes—
515#394C2314yes—
516#394C2314yes—
517#394C2314yes—
518#394C2312yes—
519#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#394C2314yes—
523#394C2312yes—
524#394C2314yes—
525#394C2314yes—
526#394C2314yes—
527#394C2314yes—
528#394C2314yes—
529#394C2314yes—
530#394C2314yes—
531#394C2314yes—
532#394C2314yes—
533#394C2314yes—
534#394C2314yes—
535#394C2314yes—
536#394C2314yes—
537#394C2314yes—
538#394C2312yes—
539#394C2312yes—
540#394C2314yes—
541#394C2314yes—
542#394C2314yes—
543#394C2314yes—
544#394C2314yes—
545#394C2314yes—
546#394C2312yes—
547#394C2312yes—
548#394C2312yes—
549#394C2312yes—
550#394C2314yes—
551#394C2312yes—
552#394C2312yes—
553#394C2314yes—
554#394C2314yes—
555#394C2314yes—
556#394C2314yes—
557#394C2314yes—
558#393C2312yes—
559#393C2314yes—
560#393C2314yes—
561#393C2314yes—
562#393C2314yes—
563#393C2314yes—
564#393C2314yes—
565#393C2312yes—
566#392C2314yes—
567#392C2314yes—
568#392C2314yes—
569#392C2314yes—
570#392C2314yes—
571#392C2314yes—
572#392C2314yes—
573#392C2314yes—
574#392C2312yes—
575#392C2314yes—
576#392C2314yes—
577#392C2314yes—
578#392C2312yes—
579#392C2314yes—
580#391C2312yes—
581#391C2312yes—
582#391C2312yes—
583#391C2312yes—
584#391C2312yes—
585#391C2312yes—
586#391C2312yes—
587#391C2311yescharacteristic
588#391C2311yescharacteristic
589#391C2312yes—
590#391C2311yescharacteristic
591#391C2311yescharacteristic
592#390C2311yescharacteristic
593#390C2312yes—
594#390C2311yescharacteristic
595#390C2311yescharacteristic
596#390C2312yes—
597#390C2312yes—
598#390C2312yes—
599#390C2312yes—
600#390C2311yescharacteristic
601#390C2312yes—
602#390C2312yes—
603#390C2311yescharacteristic
604#390C2311yescharacteristic
605#390C2312yes—
606#390C2312yes—
607#390C2311yescharacteristic
608#390C2312yes—
609#390C2311yescharacteristic
610#390C2312yes—
611#390C2311yescharacteristic
612#390C2312yes—
613#390C2312yes—
614#390C2312yes—
615#390C2314yes—
616#390C2314yes—
617#390C2314yes—
618#390C2314yes—
619#390C2312yes—
620#390C2312yes—
621#390C2314yes—
622#390C2312yes—
623#390C2311yescharacteristic
624#390C2312yes—
625#390C2312yes—
626#390C2312yes—
627#390C2314yes—
628#390C2312yes—
629#390C2314yes—
630#390C2314yes—
631#390C2314yes—
632#390C2312yes—
633#390C2312yes—
634#390C2312yes—
635#390C2312yes—
636#390C2311yescharacteristic
637#390C2312yes—
638#390C2311yescharacteristic
639#390C2314yes—
640#390C2311yescharacteristic
641#390C2311yescharacteristic
642#390C2311yescharacteristic
643#390C2312yes—
644#390C2311yescharacteristic
645#389C2312yes—
646#389C2312yes—
647#389C2312yes—
648#389C2312yes—
649#389C2314yes—
650#389C2314yes—
651#389C2311yescharacteristic
652#389C2311yescharacteristic
653#389C2311yescharacteristic
654#389C2311yescharacteristic
655#389C2312yes—
656#389C2312yes—
657#389C2312yes—
658#389C2311yescharacteristic
659#389C2311yescharacteristic
660#389C2312yes—
661#389C2311yescharacteristic
662#389C2311yescharacteristic
663#388C2314yes—
664#388C2314yes—
665#388C2312yes—
666#388C2312yes—
667#388C2312yes—
668#388C2312yes—
669#388C2314yes—
670#388C2314yes—
671#388C2314yes—
672#388C2314yes—
673#388C2312yes—
674#388C2314yes—
675#388C2314yes—
676#388C2312yes—
677#388C2312yes—
678#388C2314yes—
679#388C2314yes—
680#388C2314yes—
681#388C2314yes—
682#388C2312yes—
683#388C2312yes—
684#388C2312yes—
685#388C2312yes—
686#388C2314yes—
687#388C2314yes—
688#388C2314yes—
689#388C2314yes—
690#388C2312yes—
691#388C2312yes—
692#388C2312yes—
693#388C2314yes—
694#388C2314yes—
695#388C2314yes—
696#388C2312yes—
697#388C2312yes—
698#387C2312yes—
699#387C2312yes—
700#387C2312yes—
701#387C2314yes—
702#387C2312yes—
703#387C2314yes—
704#387C2312yes—
705#387C2314yes—
706#387C2312yes—
707#386C2314yes—
708#386C2314yes—
709#386C2314yes—
710#386C2314yes—
711#386C2314yes—
712#386C2314yes—
713#386C2312yes—
714#386C2312yes—
715#386C2314yes—
716#386C2314yes—
717#386C2314yes—
718#386C2314yes—
719#386C2314yes—
720#386C2312yes—
721#386C2314yes—
722#386C2314yes—
723#386C2314yes—
724#386C2314yes—
725#386C2312yes—
726#386C2314yes—
727#386C2314yes—
728#386C2314yes—
729#386C2312yes—
730#385C2314yes—
731#385C2314yes—
732#385C2314yes—
733#385C2312yes—
734#385C2312yes—
735#385C2314yes—
736#385C2314yes—
737#385C2314yes—
738#385C2314yes—
739#385C2314yes—
740#385C2314yes—
741#385C2312yes—
742#385C2314yes—
743#384C2311yescharacteristic
744#384C2311yescharacteristic
745#384C2311yescharacteristic
746#384C2311yescharacteristic
747#384C2311yescharacteristic
748#384C2312yes—
749#384C2312yes—
750#384C2312yes—
751#382C2314yes—
752#382C2311yescharacteristic
753#382C2311yescharacteristic
754#382C2312yes—
755#382C2312yes—
756#381C2314yes—
757#381C2312yes—
758#380C2314yes—
759#380C2314yes—
760#380C2314yes—
761#380C2314yes—
762#380C2312yes—
763#380C2312yes—
764#380C2312yes—
765#380C2314yes—
766#380C2312yes—
767#380C2312yes—
768#380C2314yes—
769#380C2312yes—
770#380C2312yes—
771#380C2312yes—
772#380C2312yes—
773#380C2312yes—
774#379C2314yes—
775#379C2314yes—
776#379C2314yes—
777#379C2314yes—
778#379C2314yes—
779#379C2314yes—
780#379C2314yes—
781#379C2314yes—
782#379C2314yes—
783#379C2314yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2314yes—
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2311yescharacteristic
796C4×C4⋊C4C2311yescharacteristic
797C4×C4⋊C4C2311yescharacteristic
798C4×C4⋊C4C2311yescharacteristic
799C4×C4⋊C4C2311yescharacteristic
800C4×C4⋊C4C2311yescharacteristic
801C4×C4⋊C4C2311yescharacteristic
802C4×C4⋊C4C2311yescharacteristic
803C4×C4⋊C4C2311yescharacteristic
804C4×C4⋊C4C2311yescharacteristic
805C4×C22⋊C4C2314yes—
806C4×C22⋊C4C2314yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2312yes—
817C4×C22⋊C4C2314yes—
818C4×C22⋊C4C2312yes—
819C4×C22⋊C4C2312yes—
820C4×C22⋊C4C2312yes—
821#376C2312yes—
822C43C2311yescharacteristic
823C43C2311yescharacteristic
824C43C2311yescharacteristic
825C25C2414yes—
826C25C2414yes—
827C2×#41—28no—
828C2×#41—44no—
829C2×#41—44no—
830C2×#41—44no—
831C2×#41—44no—
832C2×#41—44no—
833C22×Q8—44no—
834C22×Q8—44no—
835C22×Q8—44no—
836C22×Q8C2412yes—
837C22×Q8C2411yescharacteristic
838C22×Q8C2412yes—
839C22×Q8C2411yescharacteristic
840C22×Q8C2414yes—
841C22×D4—28no—
842C22×D4—28no—
843C22×D4—44no—
844C22×D4—44no—
845C22×D4—44no—
846C22×D4—44no—
847C22×D4—44no—
848C22×D4—44no—
849C22×D4—44no—
850C22×D4—44no—
851C22×D4—44no—
852C22×D4—44no—
853C22×D4—48no—
854C22×D4—48no—
855C22×D4—48no—
856C22×D4C2411yescharacteristic
857C22×D4C2412yes—
858C22×D4C2411yescharacteristic
859C22×D4C2412yes—
860C22×D4C2411yescharacteristic
861C22×D4C2414yes—
862C22×D4C2412yes—
863C22×D4C2412yes—
864C22×D4C2411yescharacteristic
865C22×D4C2411yescharacteristic
866C22×D4C2412yes—
867C22×D4C2412yes—
868C22×D4C2412yes—
869C22×D4C2412yes—
870C22×D4C2412yes—
871C22×D4C2412yes—
872C22×D4C2414yes—
873C22×D4C2414yes—
874C22×D4C2414yes—
875C22×D4C2412yes—
876C22×D4C2414yes—
877C22×D4C2414yes—
878C22×D4C2414yes—
879C22×D4C2414yes—
880C22×D4C2414yes—
881C22×D4C2414yes—
882C23×C4C2412yes—
883C23×C4C2412yes—
884C23×C4C2412yes—
885C23×C4C2412yes—
886C23×C4C2412yes—
887C23×C4C2412yes—
888C23×C4C2414yes—
889C23×C4C2412yes—
890C23×C4C2412yes—
891C23×C4C2412yes—
892C23×C4C2414yes—
893C23×C4C2414yes—
894C23×C4C2414yes—
895C4⋊Q8—24no—
896C4⋊Q8—24no—
897C4⋊Q8—44no—
898#127—24no—
899#127—24no—
900#127—24no—
901#127—24no—
902#127—42no—
903#127—44no—
904#126—44no—
905#126—44no—
906#126—48no—
907#126—48no—
908#125—44no—
909#125—44no—
910#124—28no—
911#124—24no—
912#124—24no—
913#124—28no—
914#124—48no—
915#124—48no—
916#124—44no—
917#124—44no—
918#124—44no—
919#124—44no—
920#124—44no—
921#124—44no—
922#124—44no—
923#124—48no—
924#123—48no—
925#123—48no—
926#123—48no—
927#123—48no—
928#123—48no—
929#123—44no—
930#123—44no—
931#123—48no—
932#123—44no—
933C22⋊Q8—48no—
934C22⋊Q8—48no—
935C22⋊Q8—44no—
936C22⋊Q8—44no—
937C22⋊Q8—44no—
938C22⋊Q8—44no—
939C22⋊Q8—44no—
940C22⋊Q8—44no—
941C22⋊Q8—44no—
942C22⋊Q8—44no—
943C22⋊Q8—44no—
944C22⋊Q8—44no—
945#121—28no—
946#121—28no—
947#121—48no—
948#121—44no—
949#121—48no—
950#121—48no—
951#121—48no—
952#121—48no—
953#121—48no—
954#121—44no—
955#121—44no—
956#121—44no—
957#121—44no—
958#121—44no—
959#121—44no—
960#121—44no—
961#121—44no—
962#121—44no—
963#121—44no—
964#121—44no—
965#121—48no—
966#120—48no—
967#120—48no—
968#120—48no—
969#120—48no—
970#120—48no—
971#120—48no—
972#120—48no—
973#120—48no—
974#120—48no—
975#120—48no—
976C4×Q8—24no—
977C4×Q8—24no—
978C4×Q8—42no—
979C4×Q8—42no—
980C4×Q8—44no—
981C4×Q8—44no—
982C4×Q8—44no—
983C4×D4—24no—
984C4×D4—24no—
985C4×D4—28no—
986C4×D4—24no—
987C4×D4—24no—
988C4×D4—24no—
989C4×D4—24no—
990C4×D4—24no—
991C4×D4—24no—
992C4×D4—42no—
993C4×D4—44no—
994C4×D4—44no—
995C4×D4—44no—
996C4×D4—44no—
997C4×D4—44no—
998C4×D4—44no—
999C4×D4—44no—
1000C4×D4—44no—
1001C4×D4—44no—
1002C4×D4—44no—
1003C4×D4—44no—
1004C4×D4—48no—
1005C4×D4—48no—
1006#117—44no—
1007#117—44no—
1008#117—44no—
1009#117—48no—
1010#117—44no—
1011C2×C4⋊C4—44no—
1012C2×C4⋊C4—44no—
1013C2×C4⋊C4C2411yescharacteristic
1014C2×C4⋊C4C2411yescharacteristic
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2411yescharacteristic
1018C2×C4⋊C4C2411yescharacteristic
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2411yescharacteristic
1022C2×C4⋊C4C2411yescharacteristic
1023C2×C4⋊C4C2411yescharacteristic
1024C2×C4⋊C4C2411yescharacteristic
1025C2×C4⋊C4C2411yescharacteristic
1026C2×C4⋊C4C2411yescharacteristic
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2411yescharacteristic
1029C2×C4⋊C4C2411yescharacteristic
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2411yescharacteristic
1032C2×C4⋊C4C2411yescharacteristic
1033C2×C4⋊C4C2411yescharacteristic
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2414yes—
1038C2×C4⋊C4C2414yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2414yes—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2414yes—
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2414yes—
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2414yes—
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2412yes—
1055C2×C4⋊C4C2412yes—
1056C2×C4⋊C4C2412yes—
1057C2×C4⋊C4C2414yes—
1058C2×C4⋊C4C2414yes—
1059C2×C4⋊C4C2414yes—
1060C2×C4⋊C4C2411yescharacteristic
1061C2×C4⋊C4C2411yescharacteristic
1062C2×C4⋊C4C2411yescharacteristic
1063C2×C4⋊C4C2411yescharacteristic
1064C2×C4⋊C4C2414yes—
1065C2×C4⋊C4C2414yes—
1066C2×C4⋊C4C2414yes—
1067C2×C4⋊C4C2414yes—
1068C2×C4⋊C4C2414yes—
1069C2×C4⋊C4C2412yes—
1070C2×C22⋊C4—48no—
1071C2×C22⋊C4—48no—
1072C2×C22⋊C4—48no—
1073C2×C22⋊C4—48no—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2412yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2412yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2414yes—
1118C2×C22⋊C4C2412yes—
1119C2×C22⋊C4C2412yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2412yes—
1123C2×C22⋊C4C2412yes—
1124C2×C22⋊C4C2412yes—
1125C2×C22⋊C4C2412yes—
1126C2×C22⋊C4C2412yes—
1127C2×C22⋊C4C2412yes—
1128C2×C22⋊C4C2412yes—
1129C2×C22⋊C4C2412yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2414yes—
1134C2×C22⋊C4C2414yes—
1135C2×C22⋊C4C2414yes—
1136C2×C22⋊C4C2414yes—
1137C2×C22⋊C4C2414yes—
1138C2×C22⋊C4C2414yes—
1139C2×C22⋊C4C2414yes—
1140C2×C22⋊C4C2414yes—
1141C2×C22⋊C4C2412yes—
1142C2×C22⋊C4C2414yes—
1143C2×C22⋊C4C2414yes—
1144C2×C22⋊C4C2412yes—
1145C2×C22⋊C4C2412yes—
1146C2×C22⋊C4C2412yes—
1147C2×C22⋊C4C2414yes—
1148C2×C22⋊C4C2414yes—
1149C2×C22⋊C4C2414yes—
1150C2×C22⋊C4C2414yes—
1151C2×C22⋊C4C2412yes—
1152C2×C22⋊C4C2412yes—
1153C2×C22⋊C4C2412yes—
1154C2×C22⋊C4C2412yes—
1155C2×C22⋊C4C2412yes—
1156C2×C22⋊C4C2414yes—
1157C2×C42—28no—
1158C2×C42—44no—
1159C2×C42C2411yescharacteristic
1160C2×C42C2411yescharacteristic
1161C2×C42C2411yescharacteristic
1162C2×C42C2412yes—
1163C2×C42C2412yes—
1164C2×C42C2411yescharacteristic
1165C2×C42C2411yescharacteristic
1166C2×C42C2411yescharacteristic
1167C2×C42C2411yescharacteristic
1168C2×C42C2411yescharacteristic
1169C2×C42C2411yescharacteristic
1170C2×C42C2412yes—
1171C2×C42C2411yescharacteristic
1172C2×C42C2411yescharacteristic
1173C2×C42C2411yescharacteristic
1174C2×C42C2412yes—
1175C2×C42C2412yes—
1176C2×C42C2412yes—
1177C2×C42C2414yes—
1178C2×C42C2414yes—
1179C2×C42C2414yes—
1180C2×C42C2411yescharacteristic
1181C2×C42C2411yescharacteristic
1182C2×C42C2412yes—
1183C2×C42C2411yescharacteristic
1184C2×C42C2411yescharacteristic
1185C2×C42C2411yescharacteristic
1186C2×C42C2411yescharacteristic
1187C2×C42C2411yescharacteristic
1188#95C2412yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2411yescharacteristic
1193#95C2412yes—
1194#95C2412yes—
1195#95C2412yes—
1196#95C2412yes—
1197#95C2412yes—
1198#95C2412yes—
1199#95C2412yes—
1200#95C2414yes—
1201#95C2412yes—
1202#95C2412yes—
1203#95C2412yes—
1204#95C2414yes—
1205#95C2412yes—
1206#95C2414yes—
1207#95C2412yes—
1208#95C2412yes—
1209#95C2412yes—
1210#95C2412yes—
1211#95C2412yes—
1212#95C2412yes—
1213#95C2412yes—
1214#95C2412yes—
1215#95C2414yes—
1216#95C2412yes—
1217#95C2411yescharacteristic
1218#95C2411yescharacteristic
1219#95C2411yescharacteristic
1220#95C2411yescharacteristic
1221#95C2411yescharacteristic
1222#95C2414yes—
1223#95C2412yes—
1224#95C2414yes—
1225#95C2414yes—
1226#95C2414yes—
1227#95C2412yes—
1228#95C2414yes—
1229#95C2414yes—
1230#95C2414yes—
1231#95C2414yes—
1232#95C2414yes—
1233#95C2414yes—
1234#95C2414yes—
1235#95C2414yes—
1236C24—28no—
1237C24—28no—
1238C24—44no—
1239C24—44no—
1240C24—44no—
1241C24—44no—
1242C24—44no—
1243C24—44no—
1244C24—44no—
1245C24—44no—
1246C24—44no—
1247C24—44no—
1248C24—44no—
1249C24—44no—
1250C24C2512yes—
1251C24C2514yes—
1252C24C2512yes—
1253C24C2512yes—
1254C24C2512yes—
1255C24C2512yes—
1256#41—816no—
1257#41—816no—
1258C2×Q8—22no—
1259C2×Q8—22no—
1260C2×Q8—24no—
1261C2×Q8—24no—
1262C2×Q8—24no—
1263C2×Q8—22no—
1264C2×Q8—24no—
1265C2×Q8—24no—
1266C2×Q8—22no—
1267C2×Q8—24no—
1268C2×Q8—41no—
1269C2×Q8—41no—
1270C2×Q8—44no—
1271C2×Q8—44no—
1272C2×Q8—44no—
1273C2×Q8—816no—
1274C2×D4—28no—
1275C2×D4—28no—
1276C2×D4—24no—
1277C2×D4—24no—
1278C2×D4—24no—
1279C2×D4—24no—
1280C2×D4—24no—
1281C2×D4—24no—
1282C2×D4—28no—
1283C2×D4—28no—
1284C2×D4—28no—
1285C2×D4—22no—
1286C2×D4—22no—
1287C2×D4—22no—
1288C2×D4—22no—
1289C2×D4—22no—
1290C2×D4—22no—
1291C2×D4—24no—
1292C2×D4—24no—
1293C2×D4—22no—
1294C2×D4—24no—
1295C2×D4—22no—
1296C2×D4—24no—
1297C2×D4—24no—
1298C2×D4—22no—
1299C2×D4—22no—
1300C2×D4—24no—
1301C2×D4—24no—
1302C2×D4—22no—
1303C2×D4—24no—
1304C2×D4—24no—
1305C2×D4—24no—
1306C2×D4—22no—
1307C2×D4—22no—
1308C2×D4—42no—
1309C2×D4—42no—
1310C2×D4—44no—
1311C2×D4—42no—
1312C2×D4—42no—
1313C2×D4—42no—
1314C2×D4—42no—
1315C2×D4—42no—
1316C2×D4—42no—
1317C2×D4—44no—
1318C2×D4—44no—
1319C2×D4—44no—
1320C2×D4—44no—
1321C2×D4—44no—
1322C2×D4—44no—
1323C2×D4—44no—
1324C2×D4—44no—
1325C2×D4—44no—
1326C2×D4—44no—
1327C2×D4—44no—
1328C2×D4—44no—
1329C2×D4—44no—
1330C2×D4—42no—
1331C2×D4—42no—
1332C2×D4—44no—
1333C2×D4—42no—
1334C2×D4—42no—
1335C2×D4—44no—
1336C2×D4—44no—
1337C2×D4—44no—
1338C2×D4—42no—
1339C2×D4—42no—
1340C2×D4—42no—
1341C2×D4—42no—
1342C2×D4—42no—
1343C2×D4—44no—
1344C2×D4—44no—
1345C2×D4—44no—
1346C2×D4—44no—
1347C2×D4—44no—
1348C2×D4—44no—
1349C2×D4—44no—
1350C2×D4—816no—
1351C2×D4—816no—
1352C2×D4—816no—
1353C2×D4—816no—
1354C2×D4—832no—
1355C2×D4H(5,𝔽2)14yes—
1356C2×D4H(5,𝔽2)14yes—
1357C22×C4—24no—
1358C22×C4—24no—
1359C22×C4—28no—
1360C22×C4—24no—
1361C22×C4—24no—
1362C22×C4—24no—
1363C22×C4—24no—
1364C22×C4—24no—
1365C22×C4—24no—
1366C22×C4—24no—
1367C22×C4—24no—
1368C22×C4—24no—
1369C22×C4—24no—
1370C22×C4—24no—
1371C22×C4—24no—
1372C22×C4—24no—
1373C22×C4—24no—
1374C22×C4—24no—
1375C22×C4—24no—
1376C22×C4—24no—
1377C22×C4—24no—
1378C22×C4—28no—
1379C22×C4—42no—
1380C22×C4—42no—
1381C22×C4—42no—
1382C22×C4—44no—
1383C22×C4—44no—
1384C22×C4—44no—
1385C22×C4—44no—
1386C22×C4—44no—
1387C22×C4—44no—
1388C22×C4—44no—
1389C22×C4—44no—
1390C22×C4—42no—
1391C22×C4—44no—
1392C22×C4—42no—
1393C22×C4—42no—
1394C22×C4—42no—
1395C22×C4—44no—
1396C22×C4C2511yescharacteristic
1397C22×C4C2511yescharacteristic
1398C22×C4C2512yes—
1399C22×C4C2512yes—
1400C22×C4C2511yescharacteristic
1401C22×C4C2512yes—
1402C22×C4C2511yescharacteristic
1403C22×C4C2511yescharacteristic
1404C22×C4C2511yescharacteristic
1405C22×C4C2511yescharacteristic
1406C22×C4C2512yes—
1407C22×C4C2514yes—
1408C22×C4C2512yes—
1409C22×C4C2512yes—
1410C22×C4C2514yes—
1411C22×C4C2512yes—
1412C22×C4C2512yes—
1413C22×C4C2514yes—
1414C22×C4C2511yescharacteristic
1415C22×C4C2511yescharacteristic
1416C22×C4C2512yes—
1417C22×C4C2512yes—
1418C22×C4C2512yes—
1419C22×C4C2511yescharacteristic
1420C22×C4C2511yescharacteristic
1421C22×C4C2511yescharacteristic
1422C22×C4C2511yescharacteristic
1423C22×C4C2511yescharacteristic
1424C22×C4C2511yescharacteristic
1425C4⋊C4—22no—
1426C4⋊C4—22no—
1427C4⋊C4—24no—
1428C4⋊C4—24no—
1429C4⋊C4—22no—
1430C4⋊C4—22no—
1431C4⋊C4—22no—
1432C4⋊C4—22no—
1433C4⋊C4—22no—
1434C4⋊C4—22no—
1435C4⋊C4—22no—
1436C4⋊C4—24no—
1437C4⋊C4—24no—
1438C4⋊C4—24no—
1439C4⋊C4—22no—
1440C4⋊C4—24no—
1441C4⋊C4—22no—
1442C4⋊C4—22no—
1443C4⋊C4—24no—
1444C4⋊C4—24no—
1445C4⋊C4—22no—
1446C4⋊C4—22no—
1447C4⋊C4—22no—
1448C4⋊C4—24no—
1449C4⋊C4—44no—
1450C4⋊C4—44no—
1451C4⋊C4—42no—
1452C4⋊C4—42no—
1453C4⋊C4—42no—
1454C4⋊C4—42no—
1455C4⋊C4—42no—
1456C4⋊C4—44no—
1457C4⋊C4—42no—
1458C4⋊C4—42no—
1459C4⋊C4—44no—
1460C4⋊C4—42no—
1461C4⋊C4—42no—
1462C4⋊C4—42no—
1463C4⋊C4—42no—
1464C4⋊C4—42no—
1465C4⋊C4—44no—
1466C4⋊C4—42no—
1467C4⋊C4—42no—
1468C4⋊C4—42no—
1469C4⋊C4—44no—
1470C4⋊C4—41no—
1471C4⋊C4—41no—
1472C4⋊C4—41no—
1473C4⋊C4—41no—
1474C4⋊C4—44no—
1475C4⋊C4—44no—
1476C4⋊C4—44no—
1477C4⋊C4—44no—
1478C4⋊C4—44no—
1479C4⋊C4—44no—
1480C4⋊C4—44no—
1481C4⋊C4—44no—
1482C22⋊C4—28no—
1483C22⋊C4—28no—
1484C22⋊C4—24no—
1485C22⋊C4—24no—
1486C22⋊C4—24no—
1487C22⋊C4—28no—
1488C22⋊C4—28no—
1489C22⋊C4—24no—
1490C22⋊C4—24no—
1491C22⋊C4—28no—
1492C22⋊C4—24no—
1493C22⋊C4—24no—
1494C22⋊C4—28no—
1495C22⋊C4—24no—
1496C22⋊C4—24no—
1497C22⋊C4—24no—
1498C22⋊C4—24no—
1499C22⋊C4—24no—
1500C22⋊C4—24no—
1501C22⋊C4—24no—
1502C22⋊C4—24no—
1503C22⋊C4—42no—
1504C22⋊C4—44no—
1505C22⋊C4—44no—
1506C22⋊C4—44no—
1507C22⋊C4—44no—
1508C22⋊C4—44no—
1509C22⋊C4—44no—
1510C22⋊C4—44no—
1511C22⋊C4—44no—
1512C22⋊C4—44no—
1513C22⋊C4—42no—
1514C22⋊C4—42no—
1515C22⋊C4—42no—
1516C22⋊C4—42no—
1517C22⋊C4—42no—
1518C22⋊C4—44no—
1519C22⋊C4—42no—
1520C22⋊C4—42no—
1521C22⋊C4—42no—
1522C22⋊C4—42no—
1523C22⋊C4—42no—
1524C22⋊C4—42no—
1525C22⋊C4—44no—
1526C22⋊C4—44no—
1527C22⋊C4—42no—
1528C22⋊C4—42no—
1529C22⋊C4—42no—
1530C22⋊C4—42no—
1531C22⋊C4—42no—
1532C22⋊C4—44no—
1533C22⋊C4—44no—
1534C22⋊C4—42no—
1535C22⋊C4—42no—
1536C22⋊C4—42no—
1537C22⋊C4—42no—
1538C22⋊C4—44no—
1539C22⋊C4—42no—
1540C22⋊C4—42no—
1541C22⋊C4—44no—
1542C22⋊C4—42no—
1543C22⋊C4—42no—
1544C22⋊C4—42no—
1545C22⋊C4—44no—
1546C22⋊C4—44no—
1547C22⋊C4—44no—
1548C22⋊C4—44no—
1549C22⋊C4—44no—
1550C22⋊C4—44no—
1551C22⋊C4—44no—
1552C22⋊C4—42no—
1553C22⋊C4—44no—
1554C22⋊C4—44no—
1555C22⋊C4—44no—
1556C22⋊C4—44no—
1557C22⋊C4—44no—
1558C22⋊C4—42no—
1559C22⋊C4—42no—
1560C22⋊C4—42no—
1561C22⋊C4—44no—
1562C22⋊C4—44no—
1563C22⋊C4—44no—
1564C22⋊C4—44no—
1565C42—24no—
1566C42—24no—
1567C42—24no—
1568C42—22no—
1569C42—24no—
1570C42—22no—
1571C42—22no—
1572C42—22no—
1573C42—22no—
1574C42—22no—
1575C42—22no—
1576C42—22no—
1577C42—24no—
1578C42—22no—
1579C42—22no—
1580C42—22no—
1581C42—22no—
1582C42—42no—
1583C42—42no—
1584C42—41no—
1585C42—41no—
1586C42—41no—
1587C42—44no—
1588C42—44no—
1589C42—44no—
1590C42—41no—
1591C42—41no—
1592C42H(5,𝔽2)14yes—
1593C42H(5,𝔽2)14yes—
1594C23—22no—
1595C23—22no—
1596C23—22no—
1597C23—22no—
1598C23—22no—
1599C23—22no—
1600C23—22no—
1601C23—22no—
1602C23—22no—
1603C23—22no—
1604C23—22no—
1605C23—22no—
1606C23—22no—
1607C23—24no—
1608C23—22no—
1609C23—22no—
1610C23—22no—
1611C23—22no—
1612C23—22no—
1613C23—22no—
1614C23—22no—
1615C23—24no—
1616C23—22no—
1617C23—24no—
1618C23—24no—
1619C23—22no—
1620C23—22no—
1621C23—22no—
1622C23—22no—
1623C23—24no—
1624C23—24no—
1625C23—22no—
1626C23—22no—
1627C23—22no—
1628C23—22no—
1629C23—22no—
1630C23—22no—
1631C23—22no—
1632C23—22no—
1633C23—24no—
1634C23—88no—
1635C23—88no—
1636C23—88no—
1637C23—88no—
1638C23—88no—
1639C23—88no—
1640C23—88no—
1641C23—88no—
1642C23—88no—
1643C23—88no—
1644C23—164no—
1645C23—164no—
1646C23—164no—
1647C23—164no—
1648C23C2×H(5,𝔽2)14yes—
1649C23C2×H(5,𝔽2)14yes—
1650C23C2611yescharacteristic
1651Q8—44no—
1652Q8—44no—
1653Q8—48no—
1654Q8—48no—
1655Q8—88no—
1656D4—28no—
1657D4—28no—
1658D4—48no—
1659D4—48no—
1660D4—416no—
1661D4—44no—
1662D4—48no—
1663D4—44no—
1664D4—48no—
1665D4—44no—
1666D4—84no—
1667D4—84no—
1668D4—84no—
1669D4—84no—
1670D4—84no—
1671D4—84no—
1672D4—88no—
1673D4—88no—
1674D4—88no—
1675D4—84no—
1676D4—88no—
1677D4—88no—
1678D4—88no—
1679D4—88no—
1680D4—164no—
1681D4—164no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—22no—
1691C2×C4—22no—
1692C2×C4—22no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—22no—
1696C2×C4—22no—
1697C2×C4—22no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—22no—
1710C2×C4—22no—
1711C2×C4—22no—
1712C2×C4—24no—
1713C2×C4—24no—
1714C2×C4—24no—
1715C2×C4—24no—
1716C2×C4—24no—
1717C2×C4—22no—
1718C2×C4—24no—
1719C2×C4—22no—
1720C2×C4—22no—
1721C2×C4—22no—
1722C2×C4—22no—
1723C2×C4—22no—
1724C2×C4—22no—
1725C2×C4—22no—
1726C2×C4—22no—
1727C2×C4—22no—
1728C2×C4—22no—
1729C2×C4—22no—
1730C2×C4—22no—
1731C2×C4—22no—
1732C2×C4—22no—
1733C2×C4—24no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—21no—
1737C2×C4—21no—
1738C2×C4—21no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—22no—
1744C2×C4—22no—
1745C2×C4—22no—
1746C2×C4—24no—
1747C2×C4—24no—
1748C2×C4—22no—
1749C2×C4—22no—
1750C2×C4—22no—
1751C2×C4—21no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—22no—
1757C2×C4—22no—
1758C2×C4—22no—
1759C2×C4—48no—
1760C2×C4—48no—
1761C2×C4—48no—
1762C2×C4—48no—
1763C2×C4—48no—
1764C2×C4—48no—
1765C2×C4—84no—
1766C2×C4—84no—
1767C2×C4—88no—
1768C2×C4—84no—
1769C2×C4—88no—
1770C2×C4—88no—
1771C2×C4—88no—
1772C2×C4C2×H(5,𝔽2)12yes—
1773C2×C4C2×H(5,𝔽2)12yes—
1774C2×C4C2×H(5,𝔽2)12yes—
1775C2×C4C2×H(5,𝔽2)12yes—
1776C2×C4C2×H(5,𝔽2)12yes—
1777C2×C4C2×H(5,𝔽2)12yes—
1778C2×C4C2×H(5,𝔽2)12yes—
1779C2×C4C2×H(5,𝔽2)12yes—
1780C2×C4#58512yes—
1781C2×C4#58512yes—
1782C22—24no—
1783C22—24no—
1784C22—24no—
1785C22—24no—
1786C22—24no—
1787C22—24no—
1788C22—42no—
1789C22—42no—
1790C22—42no—
1791C22—42no—
1792C22—42no—
1793C22—42no—
1794C22—42no—
1795C22—42no—
1796C22—42no—
1797C22—42no—
1798C22—44no—
1799C22—42no—
1800C22—42no—
1801C22—42no—
1802C22—44no—
1803C22—42no—
1804C22—44no—
1805C22—42no—
1806C22—42no—
1807C22—42no—
1808C22—42no—
1809C22—42no—
1810C22—42no—
1811C22—44no—
1812C22—42no—
1813C22—42no—
1814C22—44no—
1815C22—42no—
1816C22—42no—
1817C22—42no—
1818C22—42no—
1819C22—44no—
1820C22—44no—
1821C22—42no—
1822C22—42no—
1823C22—42no—
1824C22—1616no—
1825C22—1616no—
1826C22C22×H(5,𝔽2)11yescharacteristic
1827C22C22×H(5,𝔽2)11yescharacteristic
1828C22C22×H(5,𝔽2)11yescharacteristic
1829C22C22×H(5,𝔽2)11yescharacteristic
1830C22C2×#58511yescharacteristic
1831C22C2×#58511yescharacteristic
1832C222−1+611yescharacteristic
1833C4—22no—
1834C4—22no—
1835C4—22no—
1836C4—22no—
1837C4—42no—
1838C4—42no—
1839C4—44no—
1840C4—42no—
1841C4—42no—
1842C4—42no—
1843C4—44no—
1844C4—42no—
1845C4—41no—
1846C4—44no—
1847C4—42no—
1848C4—41no—
1849C4—42no—
1850C4—41no—
1851C4—41no—
1852C4—42no—
1853C4—42no—
1854C4—41no—
1855C4—41no—
1856C4—41no—
1857C4—41no—
1858C4—41no—
1859C4—42no—
1860C4#354314yes—
1861C4#355814yes—
1862C2—44no—
1863C2—44no—
1864C2—82no—
1865C2—82no—
1866C2—82no—
1867C2—84no—
1868C2C2×#355811yescharacteristic
1869C2C2×#354311yescharacteristic
1870C2#6275911yescharacteristic
1871C2#6291411yescharacteristic
1872C2#6292111yescharacteristic
1873C2#6293111yescharacteristic
1874C2#6301211yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #59816C2semidirect
2. #59654C2semidirect
3. #59410C2semidirect
4. #59131C2semidirect
5. #59030C2semidirect
6. #53432C2semidirect
7. #53426C2semidirect
8. #53129C2semidirect
9. #53116C2semidirect
10. #53016C2semidirect
11. #52962C2semidirect
12. #52599C2semidirect
13. #42950C2semidirect
14. #42535C2semidirect
15. #42474C2semidirect
16. #42422C2semidirect
17. #40926C2semidirect
18. #40125C2semidirect
19. #39900C2semidirect
20. #39362C2semidirect
21. #39167C2semidirect
22. #38957C2semidirect
23. #38951C2semidirect
24. #38902C2semidirect
25. #37751C2semidirect
26. #37627C2semidirect
27. #37625C2semidirect
28. #37546C2semidirect
29. #37492C2semidirect
30. #36609C2semidirect
31. #36260C2semidirect
32. D4×#124C2semidirect
33. #34934C2semidirect
34. #34932C2semidirect
35. #34918C2semidirect
36. C2×#556C22semidirect
37. C2×D4×Q8C22semidirect
38. C2×#548C22semidirect
39. C2×#547C22semidirect
40. C2×#547C22semidirect
41. C2×#546C22semidirect
42. C2×#546C22semidirect
47. C2×#535C22semidirect
48. C2×#529C22semidirect
49. C2×#529C22semidirect
50. C22×#124C22semidirect
51. #2862C22semidirect
54. #2856C22semidirect
55. #2850C22semidirect
56. #2841C22semidirect
57. #2837C22semidirect
58. #2837C22semidirect
59. #2830C22semidirect
60. #2829C22semidirect
61. #2829C22semidirect
62. #2828C22semidirect
63. #2827C22semidirect
64. #2824C22semidirect
65. #2820C22semidirect
66. #2819C22semidirect
67. #2814C22semidirect
68. #2812C22semidirect
69. #2812C22semidirect
70. #2803C22semidirect
71. #2784C22semidirect
72. #2768C22semidirect
73. #2753C22semidirect
74. #2741C22semidirect
75. #2735C22semidirect
76. #2723C22semidirect
77. #2723C22semidirect
78. #2706C22semidirect
79. #2706C22semidirect
80. #2705C22semidirect
81. #2701C22semidirect
82. #2697C22semidirect
83. #2696C22semidirect
84. #2694C22semidirect
85. #2691C22semidirect
86. #2691C22semidirect
87. #2688C22semidirect
88. #2686C22semidirect
89. #2685C22semidirect
90. #2685C22semidirect
91. #2685C22semidirect
92. #2685C22semidirect
93. #2684C22semidirect
94. #2684C22semidirect
95. #2682C22semidirect
96. #2681C22semidirect
98. #2678C22semidirect
99. #2678C22semidirect
100. #2678C22semidirect
101. #2672C22semidirect
102. #2671C22semidirect
103. #2671C22semidirect
104. #2670C22semidirect
105. #2668C22semidirect
106. #2668C22semidirect
107. #2662C22semidirect
108. #2662C22semidirect
109. #2651C22semidirect
110. #2651C22semidirect
111. #2644C22semidirect
112. #2641C22semidirect
113. #2640C22semidirect
114. #2630C22semidirect
115. #2630C22semidirect
116. #2629C22semidirect
117. #2626C22semidirect
118. #2626C22semidirect
119. #2625C22semidirect
120. #2624C22semidirect
121. #2624C22semidirect
122. #2622C22semidirect
123. #2620C22semidirect
124. #2620C22semidirect
125. #2620C22semidirect
126. #2620C22semidirect
127. #2620C22semidirect
128. #2617C22semidirect
129. #2613C22semidirect
130. #2597C22semidirect
131. #2595C22semidirect
132. #2592C22semidirect
133. #2592C22semidirect
134. #2592C22semidirect
135. #2580C22semidirect
136. #2580C22semidirect
137. #2570C22semidirect
138. #2567C22semidirect
139. #2559C22semidirect
140. #2555C22semidirect
141. #2554C22semidirect
142. #2554C22semidirect
143. #2554C22semidirect
144. #2553C22semidirect
145. #2552C22semidirect
146. #2552C22semidirect
148. #2548C22semidirect
149. #2547C22semidirect
150. #2547C22semidirect
153. #2542C22semidirect
154. #2542C22semidirect
157. #2540C22semidirect
158. #2540C22semidirect
159. #2540C22semidirect
160. #2539C22semidirect
161. #2539C22semidirect
162. #2538C22semidirect
163. #2538C22semidirect
168. #2536C22semidirect
169. #2534C22semidirect
170. #2516C22semidirect
171. #2513C22semidirect
172. #2513C22semidirect
173. #2513C22semidirect
174. #2512C22semidirect
175. #2512C22semidirect
176. #2511C22semidirect
177. #2502C22semidirect
178. #2501C22semidirect
179. #2500C22semidirect
180. #2497C22semidirect
181. #2496C22semidirect
182. #2491C22semidirect
183. #2491C22semidirect
184. #2491C22semidirect
185. #2490C22semidirect
186. #2490C22semidirect
187. #2489C22semidirect
188. #2480C22semidirect
189. #2476C22semidirect
190. #2476C22semidirect
191. #2472C22semidirect
192. #2472C22semidirect
193. #2472C22semidirect
194. #2464C22semidirect
195. #2461C22semidirect
196. #2458C22semidirect
197. #2454C22semidirect
198. #2448C22semidirect
199. #2448C22semidirect
200. #2447C22semidirect
201. #2447C22semidirect
202. #2447C22semidirect
205. #2445C22semidirect
206. #2445C22semidirect
207. #2440C22semidirect
208. #2436C22semidirect
209. #2435C22semidirect
210. #2435C22semidirect
211. #2435C22semidirect
212. #2435C22semidirect
213. #2435C22semidirect
214. #2433C22semidirect
216. #2431C22semidirect
217. #2431C22semidirect
218. #2428C22semidirect
219. #2427C22semidirect
220. #2427C22semidirect
221. #2426C22semidirect
222. #2426C22semidirect
223. #2426C22semidirect
224. #2426C22semidirect
225. #2426C22semidirect
226. #2424C22semidirect
227. #2423C22semidirect
228. #2423C22semidirect
229. #2422C22semidirect
230. #2422C22semidirect
231. #2418C22semidirect
232. #2418C22semidirect
233. #2417C22semidirect
234. #2417C22semidirect
235. #2417C22semidirect
236. #2416C22semidirect
237. #2416C22semidirect
238. #2415C22semidirect
239. #2415C22semidirect
240. #2414C22semidirect
241. #2411C22semidirect
242. #2411C22semidirect
243. #2410C22semidirect
244. #2409C22semidirect
245. #2409C22semidirect
246. #2409C22semidirect
252. #2408C22semidirect
253. #2408C22semidirect
254. #2407C22semidirect
255. #2407C22semidirect
256. #2407C22semidirect
257. #2405C22semidirect
258. #2398C22semidirect
259. #2395C22semidirect
260. #2395C22semidirect
261. #2392C22semidirect
262. #2392C22semidirect
263. #2367C22semidirect
264. #2367C22semidirect
265. #2361C22semidirect
266. #2357C22semidirect
267. #2352C22semidirect
268. #2341C22semidirect
269. D4×C22⋊C4C22semidirect
270. D4×C22⋊C4C22semidirect
271. D4×C22⋊C4C22semidirect
272. #2335C22semidirect
273. #2326C22semidirect
274. #2311C22semidirect
275. #2309C22semidirect
276. C4×C4⋊Q8C22semidirect
277. C4×C4⋊Q8C22semidirect
281. C4×#127C22semidirect
282. C4×#127C22semidirect
283. C4×#124C22semidirect
284. C4×#124C22semidirect
285. C4×C22⋊Q8C22semidirect
286. C4×#123C22semidirect
287. C4×#121C22semidirect
288. C4×#121C22semidirect
289. #2295C22semidirect
290. #2293C22semidirect
291. #2293C22semidirect
292. #2293C22semidirect
293. C2×#390C22semidirect
294. #2290C22semidirect
295. #2285C22semidirect
296. C42×Q8C22semidirect
297. C42×D4C22semidirect
298. C42×D4C22semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
#598162
#596542
#594102
#591312
#590302
#534322
#534262
#531292
#531162
#530162
#529622
#525992
#429502
#425352
#424742
#424222
#409262
#401252
#399002
#393622
#391672
#389572
#389512
#389022
#377512
#376272
#376252
#375462
#374922
#366092
#362602
D4×#1242
#349342
#349322
#349182